Least Common Multiple of 718/802, 7830/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 718/802, 7830/452 quickly i.e. 1405485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/802, 7830/452 is 1405485.

LCM(718/802, 7830/452) = 1405485

LCM of 718/802, 7830/452

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 718/802,7830/452

Given numbers are 718/802,7830/452

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 718,7830

Least Common Multiple of Numerators i.e. LCM of 718,7830 is 2810970.

GCF of Denominators means GCF of 802,452 as per the given fractions.

GCF of 802,452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,7830

LCM of Fractions 718/802,7830/452 is 1405485

2 718, 7830
359, 3915

∴ So the LCM of the given numbers is 2 x 359 x 3915 = 2810970

Least Common Multiple of 718,7830 with GCF Formula

Least Common Multiple of 718,7830 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 718,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,7830) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(718,7830) x common factors =2 x 1 = 2

LCM(718,7830) = ( 718 × 7830 ) / 2

LCM(718,7830) = 5621940 / 2

LCM(718,7830) = 2810970


Lets's calculate GCF of 802,452

2 802, 452
401, 226

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2810970/2

Therefore the LCM of Fractions 718/802,7830/452 is 1405485

Greatest Common Factor of 802,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,452 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 802,452 . The biggest common factor number is the GCF number.
So the greatest common factor 802,452 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 718/802, 7830/452

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 718/802, 7830/452?

Answer: LCM of Numerators as per given numbers 718/802, 7830/452 is

LCM of Numerators i.e. for 718,7830 is 2810970

GCF of denominators i.e. for 802,452 is 2.

Thus, LCM of Fractions is 1405485.Finally, LCM of Fractions for 718/802, 7830/452 is 1405485.